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Finding the Fourth Proportional to 930.55, 1,284.02 and 557.45

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Solution

The fourth proportional to 930.55, 1,284.02 and 557.45 is: 769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.55 : 1,284.02 = 557.45 : x
  2. Step 2: Convert to fraction form
    930.55/1,284.02 = 557.45/x
  3. Step 3: Cross multiply
    930.55x = 1,284.02 × 557.45
  4. Step 4: Simplify right side
    930.55x = 715,767.74
  5. Step 5: Solve for x
    x = 715,767.74/930.55
  6. Step 6: Final answer
    x = 769.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.